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They can't. If they are ME, then if you get one, you know that the other will not occur. By def of Indep. , knowing the outcome of an event cannot tell you info about the other.
Actually, that is not entirely true - in the (rather trivial) case that the probability of one event is zero - both conditions are met. It is false
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Can 2 events be both independent and mutually exclusive?
Yes.
If two events are mutually exclusive then they must be dependent?
No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.
What are non mutually exclusive events?
Two events are non mutually exclusive events are those that have an overlap. That is, there is at least one outcome that is "favourable" to both events.For example if, for a roll of a die,event A: the outcome is evenevent B: the outcome is a primeThen the outcome 2 is favourable to both A and B and so A and B are not mutually exclusive.
If two events are mutually exclusive what is the probability that both occur at the same time?
The probability is 0. Consider the event of tossing a coin . The possible events are occurrence of head and tail. they are mutually exclusive events. Hence the probability of getting both the head and tail in a single trial is 0.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
